Wang, Liang; Su, Haibo; Zhou, Kun A phase-field model for mixed-mode cohesive fracture in fiber-reinforced composites. (English) Zbl 07824859 Comput. Methods Appl. Mech. Eng. 421, Article ID 116753, 24 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Methods Appl. Mech. Eng. 421, Article ID 116753, 24 p. (2024; Zbl 07824859) Full Text: DOI
Zhang, Hao; Dolbow, John E.; Guilleminot, Johann Representing model uncertainties in brittle fracture simulations. (English) Zbl 07823457 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116575, 23 p. (2024). MSC: 86-XX 74-XX PDFBibTeX XMLCite \textit{H. Zhang} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116575, 23 p. (2024; Zbl 07823457) Full Text: DOI
Westermann, Hendrik; Mahnken, Rolf On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge-Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. (English) Zbl 07822174 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116545, 22 p. (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{H. Westermann} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116545, 22 p. (2024; Zbl 07822174) Full Text: DOI
Lorez, Flavio; Pundir, Mohit; Kammer, David S. Eulerian framework for contact between solids represented as phase fields. (English) Zbl 07822143 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116497, 12 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{F. Lorez} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116497, 12 p. (2024; Zbl 07822143) Full Text: DOI arXiv
Zhang, Yiyao; Chen, Ke; Yang, Shang-Hua Super-resolution surface reconstruction from few low-resolution slices. (English) Zbl 07815415 Inverse Probl. Imaging 18, No. 2, 447-479 (2024). MSC: 49Q20 65K10 65D18 94A08 68U10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Inverse Probl. Imaging 18, No. 2, 447--479 (2024; Zbl 07815415) Full Text: DOI arXiv
Ham, Seokjun; Li, Yibao; Kwak, Soobin; Jeong, Darae; Kim, Junseok An efficient and fast adaptive numerical method for a novel phase-field model of crystal growth. (English) Zbl 07810026 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107822, 14 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 80A22 80A19 35K05 74N05 35Q79 PDFBibTeX XMLCite \textit{S. Ham} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107822, 14 p. (2024; Zbl 07810026) Full Text: DOI
Huang, Qiong-Ao; Yuan, Cheng; Zhang, Gengen; Zhang, Lian A computationally optimal relaxed scalar auxiliary variable approach for solving gradient flow systems. (English) Zbl 07801632 Comput. Math. Appl. 156, 64-73 (2024). MSC: 65-XX 49-XX PDFBibTeX XMLCite \textit{Q.-A. Huang} et al., Comput. Math. Appl. 156, 64--73 (2024; Zbl 07801632) Full Text: DOI
Li, Peidong; Li, Weidong; Tan, Yu; Fan, Haidong; Wang, Qingyuan A phase field fracture model for ultra-thin micro-/nano-films with surface effects. (English) Zbl 07791667 Int. J. Eng. Sci. 195, Article ID 104004, 13 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{P. Li} et al., Int. J. Eng. Sci. 195, Article ID 104004, 13 p. (2024; Zbl 07791667) Full Text: DOI
Yang, Junxiang Surface phase-field surfactant fluid model and its practical closest point type finite difference computation. (English) Zbl 07784345 Comput. Math. Appl. 154, 24-38 (2024). MSC: 65M06 76D05 65M12 35K55 35Q35 PDFBibTeX XMLCite \textit{J. Yang}, Comput. Math. Appl. 154, 24--38 (2024; Zbl 07784345) Full Text: DOI
Si, Zhanfei; Yu, Tiantang; Hirshikesh; Natarajan, Sundararajan An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture. (English) Zbl 07784322 Comput. Math. Appl. 153, 1-19 (2024). MSC: 74R10 74S05 74A45 65N30 74S30 PDFBibTeX XMLCite \textit{Z. Si} et al., Comput. Math. Appl. 153, 1--19 (2024; Zbl 07784322) Full Text: DOI
Wang, Xiaoqiang; Li, Peichao; Qi, Tao; Li, Longxin; Li, Tao; Jin, Jie; Lu, Detang A framework to model the hydraulic fracturing with thermo-hydro-mechanical coupling based on the variational phase-field approach. (English) Zbl 07804970 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116406, 33 p. (2023). MSC: 76-XX 80-XX PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116406, 33 p. (2023; Zbl 07804970) Full Text: DOI
Nöldner, Philipp; Burger, Martin; Garcke, Harald Sharp interface analysis of a diffuse interface model for cell blebbing with linker dynamics. (English) Zbl 07801498 ZAMM, Z. Angew. Math. Mech. 103, No. 12, Article ID e202300101, 39 p. (2023). MSC: 35C20 35B25 35Q92 92C10 PDFBibTeX XMLCite \textit{P. Nöldner} et al., ZAMM, Z. Angew. Math. Mech. 103, No. 12, Article ID e202300101, 39 p. (2023; Zbl 07801498) Full Text: DOI arXiv OA License
Sprekels, Jürgen; Tröltzsch, Fredi Second-order sufficient conditions for sparse optimal control of singular Allen-Cahn systems with dynamic boundary conditions. (English) Zbl 07800071 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3784-3812 (2023). MSC: 49J50 49J52 35K20 35K55 49K20 PDFBibTeX XMLCite \textit{J. Sprekels} and \textit{F. Tröltzsch}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3784--3812 (2023; Zbl 07800071) Full Text: DOI arXiv
Yang, Manman; Wu, Fan; Zhu, Zixian Global existence of weak solution to a phase-field model on martensitic phase transformations. (English) Zbl 07781761 Math. Methods Appl. Sci. 46, No. 4, 3545-3559 (2023). MSC: 34B18 35A20 35J25 81T10 PDFBibTeX XMLCite \textit{M. Yang} et al., Math. Methods Appl. Sci. 46, No. 4, 3545--3559 (2023; Zbl 07781761) Full Text: DOI
Zhang, Chunhua; Guo, Zhaoli; Wang, Lian-Ping A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility. (English) Zbl 07772633 Comput. Math. Appl. 150, 22-36 (2023). MSC: 76D03 35Q35 PDFBibTeX XMLCite \textit{C. Zhang} et al., Comput. Math. Appl. 150, 22--36 (2023; Zbl 07772633) Full Text: DOI
Xiao, B.; Natarajan, S.; Birk, C.; Ooi, E. H.; Song, C.; Ooi, E. T. Construction of generalized shape functions over arbitrary polytopes based on scaled boundary finite element method’s solution of Poisson’s equation. (English) Zbl 07772282 Int. J. Numer. Methods Eng. 124, No. 17, 3603-3636 (2023). MSC: 74Sxx 65Nxx 65Dxx PDFBibTeX XMLCite \textit{B. Xiao} et al., Int. J. Numer. Methods Eng. 124, No. 17, 3603--3636 (2023; Zbl 07772282) Full Text: DOI OA License
Zhang, Tiancheng; Hirshikesh; Yu, Tiantang; Xing, Chen; Natarajan, Sundararajan An adaptive dynamic phase-field method using the variable-node elements for cohesive dynamic fracture. (English) Zbl 07761347 Comput. Methods Appl. Mech. Eng. 416, Article ID 116390, 27 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T. Zhang} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116390, 27 p. (2023; Zbl 07761347) Full Text: DOI
Wu, Jian-Ying; Yao, Jing-Ru; Le, Jia-Liang Phase-field modeling of stochastic fracture in heterogeneous quasi-brittle solids. (English) Zbl 07761314 Comput. Methods Appl. Mech. Eng. 416, Article ID 116332, 31 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{J.-Y. Wu} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116332, 31 p. (2023; Zbl 07761314) Full Text: DOI
Gao, Yali; He, Xiaoming; Lin, Tao; Lin, Yanping Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities. (English) Zbl 07737659 ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1323-1354 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76S05 76T06 76T30 35D30 35R35 35Q35 PDFBibTeX XMLCite \textit{Y. Gao} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 3, 1323--1354 (2023; Zbl 07737659) Full Text: DOI
Arunachala, Prajwal Kammardi; Vajari, Sina Abrari; Neuner, Matthias; Linder, Christian A multiscale phase field fracture approach based on the non-affine microsphere model for rubber-like materials. (English) Zbl 07737565 Comput. Methods Appl. Mech. Eng. 410, Article ID 115982, 36 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{P. K. Arunachala} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 115982, 36 p. (2023; Zbl 07737565) Full Text: DOI
Ren, Yudong; Chen, Jianbing; Lu, Guangda A structured deformation driven nonlocal macro-meso-scale consistent damage model for the compression/shear dominate failure simulation of quasi-brittle materials. (English) Zbl 07737562 Comput. Methods Appl. Mech. Eng. 410, Article ID 115945, 29 p. (2023). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{Y. Ren} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 115945, 29 p. (2023; Zbl 07737562) Full Text: DOI
Tan, Yu; Liu, Chang; Zhao, Jinsheng; He, Yuxiang; Li, Peidong; Li, Xiangyu Phase field model for brittle fracture in multiferroic materials. (English) Zbl 07725723 Comput. Methods Appl. Mech. Eng. 414, Article ID 116193, 32 p. (2023). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{Y. Tan} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116193, 32 p. (2023; Zbl 07725723) Full Text: DOI
Yang, Junxiang; Wu, Jingwen; Tan, Zhijun Phase-field modeling and consistent energy-stable simulation of binary creeping flows in contact with solid. (English) Zbl 07725711 Comput. Methods Appl. Mech. Eng. 414, Article ID 116180, 30 p. (2023). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116180, 30 p. (2023; Zbl 07725711) Full Text: DOI
Nguyen-Thanh, Nhon; Zhang, Qi; Li, Weidong; Wu, Mao See; Li, Shaofan; Zhou, Kun Higher-order nonlocal operator theory for phase-field modeling of ductile fracture in elasto-plastic materials. (English) Zbl 07725671 Comput. Methods Appl. Mech. Eng. 414, Article ID 116054, 24 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{N. Nguyen-Thanh} et al., Comput. Methods Appl. Mech. Eng. 414, Article ID 116054, 24 p. (2023; Zbl 07725671) Full Text: DOI
Li, Huan; Zhang, Wenyu; Cheng, Xiang A gradient-enhanced plasticity based phase-field model for ductile fracture simulations. (English) Zbl 07714946 Int. J. Comput. Methods 20, No. 1, Article ID 2250039, 34 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{H. Li} et al., Int. J. Comput. Methods 20, No. 1, Article ID 2250039, 34 p. (2023; Zbl 07714946) Full Text: DOI
Song, Zhengyuan; Li, Dingqi; Wang, Dongmei; Li, Huanrong A modified Crank-Nicolson finite difference method preserving maximum-principle for the phase-field model. (English) Zbl 07707886 J. Math. Anal. Appl. 526, No. 2, Article ID 127271, 15 p. (2023). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{Z. Song} et al., J. Math. Anal. Appl. 526, No. 2, Article ID 127271, 15 p. (2023; Zbl 07707886) Full Text: DOI
Zhao, Guomei; Hu, Shuaifei; Zhu, Peicheng Unconditional energy stability and temporal convergence of first-order numerical scheme for the square phase-field crystal model. (English) Zbl 07703993 Comput. Math. Appl. 143, 318-326 (2023). MSC: 65M12 65M06 65M60 65M70 82D25 PDFBibTeX XMLCite \textit{G. Zhao} et al., Comput. Math. Appl. 143, 318--326 (2023; Zbl 07703993) Full Text: DOI
Dabrock, Nils; Knüttel, Sascha; Röger, Matthias “Gradient-free” diffuse approximations of the Willmore functional and Willmore flow. (English) Zbl 07702114 Asymptotic Anal. 133, No. 1-2, 185-226 (2023). MSC: 35Q35 49Q10 49Q20 35R09 45K05 35R10 35B40 35C20 53E10 65M70 65M06 65N35 PDFBibTeX XMLCite \textit{N. Dabrock} et al., Asymptotic Anal. 133, No. 1--2, 185--226 (2023; Zbl 07702114) Full Text: DOI arXiv
Fattebert, Jean-Luc; DeWitt, Stephen; Perron, Aurelien; Turner, John Thermo4PFM: facilitating phase-field simulations of alloys with thermodynamic driving forces. (English) Zbl 07701704 Comput. Phys. Commun. 288, Article ID 108739, 10 p. (2023). MSC: 80-XX 82-XX PDFBibTeX XMLCite \textit{J.-L. Fattebert} et al., Comput. Phys. Commun. 288, Article ID 108739, 10 p. (2023; Zbl 07701704) Full Text: DOI
Zeng, Jun; Ji, Jiale; Chen, Shuyu; Tian, Fucheng Sub-Rayleigh to supershear transition of dynamic mode-II cracks. (English) Zbl 07700683 Int. J. Eng. Sci. 188, Article ID 103862, 22 p. (2023). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{J. Zeng} et al., Int. J. Eng. Sci. 188, Article ID 103862, 22 p. (2023; Zbl 07700683) Full Text: DOI
Huang, Shijie; Xiao, Xufeng; Feng, Xinlong An adaptive time-stepping method for the binary fluid-surfactant phase field model on evolving surfaces. (English) Zbl 07698842 J. Sci. Comput. 95, No. 1, Paper No. 29, 41 p. (2023). MSC: 65Mxx 65Lxx 76Mxx PDFBibTeX XMLCite \textit{S. Huang} et al., J. Sci. Comput. 95, No. 1, Paper No. 29, 41 p. (2023; Zbl 07698842) Full Text: DOI
Li, Yicong; Yu, Tiantang; Xing, Chen; Natarajan, Sundararajan Crack growth in homogeneous media using an adaptive isogeometric fourth-order phase-field model. (English) Zbl 07697915 Comput. Methods Appl. Mech. Eng. 413, Article ID 116122, 24 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{Y. Li} et al., Comput. Methods Appl. Mech. Eng. 413, Article ID 116122, 24 p. (2023; Zbl 07697915) Full Text: DOI
Min, Lang; Wang, Zilong; Hu, Xiaofei; Zhao, Dan; Sun, Zhi; Zhang, Peng; Yao, Weian; Bui, Tinh Quoc A chemo-thermo-mechanical coupled phase field framework for failure in thermal barrier coatings. (English) Zbl 07692947 Comput. Methods Appl. Mech. Eng. 411, Article ID 116044, 27 p. (2023). MSC: 74-XX 80-XX PDFBibTeX XMLCite \textit{L. Min} et al., Comput. Methods Appl. Mech. Eng. 411, Article ID 116044, 27 p. (2023; Zbl 07692947) Full Text: DOI
Zhang, Wen; Li, Jian The robust physics-informed neural networks for a typical fourth-order phase field model. (English) Zbl 07692035 Comput. Math. Appl. 140, 64-77 (2023). MSC: 65M60 76M10 65M12 68T05 35Q30 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{J. Li}, Comput. Math. Appl. 140, 64--77 (2023; Zbl 07692035) Full Text: DOI
Xie, Na; Wang, Yan; Xiao, Xufeng; Feng, Xinlong An efficient dimension splitting p-adaptive method for the binary fluid surfactant phase field model. (English) Zbl 07691987 Comput. Math. Appl. 142, 84-96 (2023). MSC: 65M06 65M12 65M70 65M60 35Q35 PDFBibTeX XMLCite \textit{N. Xie} et al., Comput. Math. Appl. 142, 84--96 (2023; Zbl 07691987) Full Text: DOI
Liu, Zhengguang; Zheng, Nan; Zhou, Zhaojie A highly efficient and accurate new SAV approach for the modified phase field crystal model. (English) Zbl 07684717 Numer. Algorithms 93, No. 2, 543-562 (2023). MSC: 65-XX 65M12 35K20 35K35 35K55 65Z05 PDFBibTeX XMLCite \textit{Z. Liu} et al., Numer. Algorithms 93, No. 2, 543--562 (2023; Zbl 07684717) Full Text: DOI
Liu, Qingfang; Li, Baotong; Wang, Yujie; Wang, Zhiheng; Zhao, Jiakun A two-grid mixed finite element method of a phase field model for two-phase incompressible flows. (English) Zbl 07674322 Comput. Math. Appl. 137, 14-27 (2023). MSC: 76D05 76M10 65N30 65M60 35Q30 PDFBibTeX XMLCite \textit{Q. Liu} et al., Comput. Math. Appl. 137, 14--27 (2023; Zbl 07674322) Full Text: DOI
Tan, Zhijun; Chen, Le; Yang, Junxiang Generalized Allen-Cahn-type phase-field crystal model with FCC ordering structure and its conservative high-order accurate algorithm. (English) Zbl 07666740 Comput. Phys. Commun. 286, Article ID 108656, 15 p. (2023). MSC: 82-XX 65-XX PDFBibTeX XMLCite \textit{Z. Tan} et al., Comput. Phys. Commun. 286, Article ID 108656, 15 p. (2023; Zbl 07666740) Full Text: DOI
Li, Weidong; Ambati, Marreddy; Nguyen-Thanh, Nhon; Du, Hejun; Zhou, Kun Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach. (English) Zbl 07658094 Comput. Methods Appl. Mech. Eng. 406, Article ID 115861, 28 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{W. Li} et al., Comput. Methods Appl. Mech. Eng. 406, Article ID 115861, 28 p. (2023; Zbl 07658094) Full Text: DOI
Hu, Zhiqiang; Zhang, Zijian; Zhou, Xu; Cui, Xiaoxiao; Ye, Hongfei; Zhang, Hongwu; Zheng, Yonggang Explicit phase-field material point method with the convected particle domain interpolation for impact/contact fracture in elastoplastic geomaterials. (English) Zbl 07653052 Comput. Methods Appl. Mech. Eng. 405, Article ID 115851, 31 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{Z. Hu} et al., Comput. Methods Appl. Mech. Eng. 405, Article ID 115851, 31 p. (2023; Zbl 07653052) Full Text: DOI
Feng, Ye; Li, Jie A unified regularized variational cohesive fracture theory with directional energy decomposition. (English) Zbl 07646839 Int. J. Eng. Sci. 182, Article ID 103773, 28 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{Y. Feng} and \textit{J. Li}, Int. J. Eng. Sci. 182, Article ID 103773, 28 p. (2023; Zbl 07646839) Full Text: DOI
Luo, Chenyi Fast staggered schemes for the phase-field model of brittle fracture based on the fixed-stress concept. (English) Zbl 07644860 Comput. Methods Appl. Mech. Eng. 404, Article ID 115787, 23 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{C. Luo}, Comput. Methods Appl. Mech. Eng. 404, Article ID 115787, 23 p. (2023; Zbl 07644860) Full Text: DOI arXiv
Burbulla, Samuel; Formaggia, Luca; Rohde, Christian; Scotti, Anna Modeling fracture propagation in poro-elastic media combining phase-field and discrete fracture models. (English) Zbl 07644166 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115699, 19 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{S. Burbulla} et al., Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115699, 19 p. (2023; Zbl 07644166) Full Text: DOI
Li, Dongfang; Li, Xiaoxi; Mei, Ming; Yuan, Wanqiu A structure-preserving and variable-step BDF2 Fourier pseudo-spectral method for the two-mode phase field crystal model. (English) Zbl 07628005 Math. Comput. Simul. 205, 483-506 (2023). MSC: 82-XX 65-XX PDFBibTeX XMLCite \textit{D. Li} et al., Math. Comput. Simul. 205, 483--506 (2023; Zbl 07628005) Full Text: DOI
Bonetti, Elena; Cavaterra, Cecilia; Freddi, Francesco; Riva, Filippo On a phase-field model of damage for hybrid laminates with cohesive interface. (English) Zbl 07780608 Math. Methods Appl. Sci. 45, No. 7, 3520-3553 (2022). MSC: 74A45 74C15 49J45 49S05 PDFBibTeX XMLCite \textit{E. Bonetti} et al., Math. Methods Appl. Sci. 45, No. 7, 3520--3553 (2022; Zbl 07780608) Full Text: DOI arXiv OA License
Chen, Wenbin; Han, Daozhi; Wang, Xiaoming; Zhang, Yichao Conservative unconditionally stable decoupled numerical schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system. (English) Zbl 07779680 Numer. Methods Partial Differ. Equations 38, No. 6, 1823-1842 (2022). MSC: 65M60 65M06 65N30 76S05 76D05 76D07 76T06 76R10 35K05 35B35 35Q35 35Q79 PDFBibTeX XMLCite \textit{W. Chen} et al., Numer. Methods Partial Differ. Equations 38, No. 6, 1823--1842 (2022; Zbl 07779680) Full Text: DOI OA License
Pei, Shuaichao; Hou, Yanren; Yan, Wenjing Efficient unconditionally stable numerical schemes for a modified phase field crystal model with a strong nonlinear vacancy potential. (English) Zbl 07775895 Numer. Methods Partial Differ. Equations 38, No. 1, 65-101 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Pei} et al., Numer. Methods Partial Differ. Equations 38, No. 1, 65--101 (2022; Zbl 07775895) Full Text: DOI
Ambati, Marreddy; Heinzmann, Jonas; Seiler, Martha; Kästner, Markus Phase-field modeling of brittle fracture along the thickness direction of plates and shells. (English) Zbl 07768017 Int. J. Numer. Methods Eng. 123, No. 17, 4094-4118 (2022). MSC: 74Sxx 74Rxx 74Kxx PDFBibTeX XMLCite \textit{M. Ambati} et al., Int. J. Numer. Methods Eng. 123, No. 17, 4094--4118 (2022; Zbl 07768017) Full Text: DOI OA License
Roth, Stephan; Kiefer, Björn Employing phase-field descriptions of cohesive zone placements in cohesive fracture simulations. (English) Zbl 07767223 Int. J. Numer. Methods Eng. 123, No. 5, 1191-1227 (2022). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{S. Roth} and \textit{B. Kiefer}, Int. J. Numer. Methods Eng. 123, No. 5, 1191--1227 (2022; Zbl 07767223) Full Text: DOI OA License
Zipunova, E. V.; Kuleshov, A. A.; Savenkov, E. B. Nonisothermal diffuse interface model for electrical breakdown channel propagation. (Russian. English summary) Zbl 07668783 Sib. Zh. Ind. Mat. 25, No. 1, 39-53 (2022); translation in J. Appl. Ind. Math. 16, No. 1, 45-57 (2022). MSC: 82-XX 78-XX PDFBibTeX XMLCite \textit{E. V. Zipunova} et al., Sib. Zh. Ind. Mat. 25, No. 1, 39--53 (2022; Zbl 07668783); translation in J. Appl. Ind. Math. 16, No. 1, 45--57 (2022) Full Text: DOI MNR
Huang, Zhida; Fan, Zongyue; Wang, Hao; Li, Bo Numerical study of grain growth in laser powder bed fusion additive manufacturing of metals. (English) Zbl 07633864 Int. J. Comput. Methods 19, No. 7, Article ID 2141012, 20 p. (2022). MSC: 80-XX 82-XX PDFBibTeX XMLCite \textit{Z. Huang} et al., Int. J. Comput. Methods 19, No. 7, Article ID 2141012, 20 p. (2022; Zbl 07633864) Full Text: DOI
Zipunova, Elizaveta; Savenkov, Evgeny Phase field model for electrically induced damage using microforce theory. (English) Zbl 07601700 Math. Mech. Solids 27, No. 6, 1111-1128 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Zipunova} and \textit{E. Savenkov}, Math. Mech. Solids 27, No. 6, 1111--1128 (2022; Zbl 07601700) Full Text: DOI
Cheng, Fang; Hu, Ye; Zhao, Lixian; Sarwar, Shahzad Global solutions to a phase-field model with logarithmic potential for lithium-ion batteries. (English) Zbl 07590411 Math. Mech. Solids 27, No. 1, 3-21 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{F. Cheng} et al., Math. Mech. Solids 27, No. 1, 3--21 (2022; Zbl 07590411) Full Text: DOI
Yang, Xiaofeng; He, Xiaoming Numerical approximations of flow coupled binary phase field crystal system: fully discrete finite element scheme with second-order temporal accuracy and decoupling structure. (English) Zbl 07568550 J. Comput. Phys. 467, Article ID 111448, 24 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{X. Yang} and \textit{X. He}, J. Comput. Phys. 467, Article ID 111448, 24 p. (2022; Zbl 07568550) Full Text: DOI
Tan, Zhijun; Wu, Jingwen; Yang, Junxiang Efficient and practical phase-field method for the incompressible multi-component fluids on 3D surfaces with arbitrary shapes. (English) Zbl 07568547 J. Comput. Phys. 467, Article ID 111444, 26 p. (2022). MSC: 65Mxx 76Mxx 35Kxx PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Comput. Phys. 467, Article ID 111444, 26 p. (2022; Zbl 07568547) Full Text: DOI
Chen, Wenbin; Wang, Shufen; Zhang, Yichao; Han, Daozhi; Wang, Cheng; Wang, Xiaoming Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system. (English) Zbl 07563204 IMA J. Numer. Anal. 42, No. 3, 2621-2655 (2022). MSC: 65Mxx PDFBibTeX XMLCite \textit{W. Chen} et al., IMA J. Numer. Anal. 42, No. 3, 2621--2655 (2022; Zbl 07563204) Full Text: DOI arXiv
Kwak, Soobin; Lee, Hyun Geun; Li, Yibao; Yang, Junxiang; Lee, Chaeyoung; Kim, Hyundong; Kang, Seungyoon; Kim, Junseok Motion by mean curvature with constraints using a modified Allen-Cahn equation. (English) Zbl 07549328 J. Sci. Comput. 92, No. 1, Paper No. 16, 16 p. (2022). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{S. Kwak} et al., J. Sci. Comput. 92, No. 1, Paper No. 16, 16 p. (2022; Zbl 07549328) Full Text: DOI
Da, Daicong Model reduction on 3D fracture resistance design. (English) Zbl 07536773 J. Comput. Phys. 463, Article ID 111274, 19 p. (2022). MSC: 74Rxx 65Mxx 74Sxx PDFBibTeX XMLCite \textit{D. Da}, J. Comput. Phys. 463, Article ID 111274, 19 p. (2022; Zbl 07536773) Full Text: DOI
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. A consistent and conservative phase-field model for thermo-gas-liquid-solid flows including liquid-solid phase change. (English) Zbl 07524791 J. Comput. Phys. 449, Article ID 110795, 23 p. (2022). MSC: 76Mxx 76Txx 65Mxx PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 449, Article ID 110795, 23 p. (2022; Zbl 07524791) Full Text: DOI arXiv
Yang, Junxiang; Kim, Junseok Energy dissipation-preserving time-dependent auxiliary variable method for the phase-field crystal and the Swift-Hohenberg models. (English) Zbl 07496469 Numer. Algorithms 89, No. 4, 1865-1894 (2022). MSC: 65Mxx PDFBibTeX XMLCite \textit{J. Yang} and \textit{J. Kim}, Numer. Algorithms 89, No. 4, 1865--1894 (2022; Zbl 07496469) Full Text: DOI
Ali, Baharin; Heider, Yousef; Markert, Bernd Residual stresses in gas tungsten arc welding: a novel phase-field thermo-elastoplasticity modeling and parameter treatment framework. (English) Zbl 07492685 Comput. Mech. 69, No. 2, 565-587 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{B. Ali} et al., Comput. Mech. 69, No. 2, 565--587 (2022; Zbl 07492685) Full Text: DOI
Shahmardi, Armin; Rosti, Marco Edoardo; Tammisola, Outi; Brandt, Luca A fully Eulerian hybrid immersed boundary-phase field model for contact line dynamics on complex geometries. (English) Zbl 07515406 J. Comput. Phys. 443, Article ID 110468, 23 p. (2021). MSC: 76Mxx 76Dxx 76Txx PDFBibTeX XMLCite \textit{A. Shahmardi} et al., J. Comput. Phys. 443, Article ID 110468, 23 p. (2021; Zbl 07515406) Full Text: DOI arXiv
Zhao, Hongbo; Braatz, Richard D.; Bazant, Martin Z. Image inversion and uncertainty quantification for constitutive laws of pattern formation. (English) Zbl 07513843 J. Comput. Phys. 436, Article ID 110279, 22 p. (2021). MSC: 68Txx 35Qxx 65Lxx PDFBibTeX XMLCite \textit{H. Zhao} et al., J. Comput. Phys. 436, Article ID 110279, 22 p. (2021; Zbl 07513843) Full Text: DOI arXiv
Yang, Kai; Aoki, Takayuki Weakly compressible Navier-Stokes solver based on evolving pressure projection method for two-phase flow simulations. (English) Zbl 07511446 J. Comput. Phys. 431, Article ID 110113, 22 p. (2021). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{K. Yang} and \textit{T. Aoki}, J. Comput. Phys. 431, Article ID 110113, 22 p. (2021; Zbl 07511446) Full Text: DOI
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. A consistent and conservative model and its scheme for \(N\)-phase-\(M\)-component incompressible flows. (English) Zbl 07508530 J. Comput. Phys. 434, Article ID 110229, 31 p. (2021). MSC: 76Mxx 76Txx 65Mxx PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 434, Article ID 110229, 31 p. (2021; Zbl 07508530) Full Text: DOI arXiv
Hajabdollahi, Farzaneh; Premnath, Kannan N.; Welch, Samuel W. J. Central moment lattice Boltzmann method using a pressure-based formulation for multiphase flows at high density ratios and including effects of surface tension and Marangoni stresses. (English) Zbl 07508491 J. Comput. Phys. 425, Article ID 109893, 25 p. (2021). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{F. Hajabdollahi} et al., J. Comput. Phys. 425, Article ID 109893, 25 p. (2021; Zbl 07508491) Full Text: DOI arXiv
Wu, T.; Rosić, B.; De Lorenzis, L.; Matthies, H. G. Parameter identification for phase-field modeling of fracture: a Bayesian approach with sampling-free update. (English) Zbl 07360512 Comput. Mech. 67, No. 2, 435-453 (2021). MSC: 74R10 74S05 65M60 62F15 PDFBibTeX XMLCite \textit{T. Wu} et al., Comput. Mech. 67, No. 2, 435--453 (2021; Zbl 07360512) Full Text: DOI
Chen, Lin; Li, Bin; de Borst, René The use of Powell-Sabin B-splines in a higher-order phase-field model for crack kinking. (English) Zbl 07360497 Comput. Mech. 67, No. 1, 127-137 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Mech. 67, No. 1, 127--137 (2021; Zbl 07360497) Full Text: DOI Link
Zou, Guang-an; Wang, Xue; Sheu, Tony W. H. Finite element analysis of a new phase field model with \(p\)-Laplacian operator. (English) Zbl 07331051 Math. Comput. Simul. 185, 134-152 (2021). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{G.-a. Zou} et al., Math. Comput. Simul. 185, 134--152 (2021; Zbl 07331051) Full Text: DOI
Thomas, Marita; Bilgen, Carola; Weinberg, Kerstin Analysis and simulations for a phase-field fracture model at finite strains based on modified invariants. (English) Zbl 07812950 ZAMM, Z. Angew. Math. Mech. 100, No. 12, Article ID e201900288, 51 p. (2020). MSC: 74Rxx 49Jxx 74Axx PDFBibTeX XMLCite \textit{M. Thomas} et al., ZAMM, Z. Angew. Math. Mech. 100, No. 12, Article ID e201900288, 51 p. (2020; Zbl 07812950) Full Text: DOI OA License
Noll, Timo; Kuhn, Charlotte; Olesch, Darius; Müller, Ralf 3D phase field simulations of ductile fracture. (English) Zbl 07778845 GAMM-Mitt. 43, No. 2, Article ID 202000008, 16 p. (2020). MSC: 74-XX 65Mxx 74Bxx PDFBibTeX XMLCite \textit{T. Noll} et al., GAMM-Mitt. 43, No. 2, Article ID 202000008, 16 p. (2020; Zbl 07778845) Full Text: DOI OA License
Lu, Xingxue; Hou, Yuliang; Tie, Ying; Li, Cheng; Zhang, Chuanzeng Crack nucleation and propagation simulation in brittle two-phase perforated/particulate composites by a phase field model. (English) Zbl 07679153 Acta Mech. Sin. 36, No. 2, 493-512 (2020). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{X. Lu} et al., Acta Mech. Sin. 36, No. 2, 493--512 (2020; Zbl 07679153) Full Text: DOI
Fu, Guosheng A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow. (English) Zbl 07507232 J. Comput. Phys. 419, Article ID 109671, 16 p. (2020). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{G. Fu}, J. Comput. Phys. 419, Article ID 109671, 16 p. (2020; Zbl 07507232) Full Text: DOI arXiv
Huang, Ziyang; Lin, Guang; Ardekani, Arezoo M. Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model. (English) Zbl 07506632 J. Comput. Phys. 420, Article ID 109718, 34 p. (2020). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Comput. Phys. 420, Article ID 109718, 34 p. (2020; Zbl 07506632) Full Text: DOI
Chen, Lizhen; Zhang, Jun; Zhao, Jia; Cao, Waixiang; Wang, Hong; Zhang, Jiwei An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection. (English) Zbl 07674869 Comput. Phys. Commun. 245, Article ID 106842, 13 p. (2019). MSC: 65-XX 82-XX PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Phys. Commun. 245, Article ID 106842, 13 p. (2019; Zbl 07674869) Full Text: DOI arXiv
Li, Qi; Mei, Liquan; You, Bo A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model. (English) Zbl 06933817 Appl. Numer. Math. 134, 46-65 (2018). MSC: 65-XX PDFBibTeX XMLCite \textit{Q. Li} et al., Appl. Numer. Math. 134, 46--65 (2018; Zbl 06933817) Full Text: DOI